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Finding the Third Proportional to 1,176.75 and 1,822.22

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Solution

The third proportional to 1,176.75 and 1,822.22 is: 2,821.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.75 : 1,822.22 = 1,822.22 : x
  2. Step 2: Convert to fraction form
    1,176.75/1,822.22 = 1,822.22/x
  3. Step 3: Cross multiply
    1,176.75x = 1,822.22 × 1,822.22
  4. Step 4: Simplify right side
    1,176.75x = 3,320,481.17
  5. Step 5: Solve for x
    x = 3,320,481.17/1,176.75
  6. Step 6: Final answer
    x = 2,821.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.